Two sources of sound placed close to each other are emitting progressive waves given by y₁ = 4 sin 600πt and y₂ = 5 sin 608πt. An observer located near these two sources of sound will hear

Question

Dr. Abubacker · Accepted Answer

[Solution from source] ω₁ = 600π gives f₁ = 300 Hz and ω₂ = 608π gives f₂ = 304 Hz, so beat frequency = 4 per second. Intensity ratio I_max/I_min = (A₁ + A₂)²/(A₁ − A₂)² = 9²/1² = 81 : 1. 25 : 16 is just the ratio of individual intensities, and 8 beats comes from using ω/2π wrongly. Answer (1).

Q. Two sources of sound placed close to each other are emitting progressive waves given by y₁ = 4 sin 600πt and y₂ = 5 sin 608πt. An observer located near these two sources of sound will hear

Explanation

Reviewed by Dr. Abubacker

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